Correlation between Voronoi volumes in disc packings
Max-Planck-Institut für Dynamik und Selbstorganisation - Bunsenstr. 10, D-37073 Göttingen, Germany, EU
2 Center for Nonlinear Dynamics and Department of Physics, University of Texas at Austin Austin, TX 78712, USA
Accepted: 20 December 2011
We measure the two-point correlation of free Voronoi volumes in binary disc packings, where the packing fraction φavg ranges from 0.8175 to 0.8380. We observe short-ranged correlations over the whole range of φavg and anticorrelations for φavg> 0.8277. The spatial extent of the anti-correlation increases with φavg while the position of the maximum of the anticorrelation and the extent of the positive correlation shrink with φavg. We conjecture that the onset of anticorrelation corresponds to dilatancy onset in this system.
PACS: 45.70.-n – Granular systems / 45.70.Cc – Static sandpiles; granular compaction / 61.43.-j – Disordered solids
© EPLA, 2012